Genival da Silva

activity

20142026

most citedNotes on the Hodge Conjecture for Fermat Varieties

1 citations · 3 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.AP2026

A nonlinear problem related to optimal insulation

Genival da Silva

We study a generalization of the classical optimal insulation problem by replacing the standard Laplacian with the \ti{p-Laplacian}, leading to a \ti{p-Poisson equation} with Robin…

math.AP2026

A $p$ -Laplacian Schrödinger--Maxwell system with rapidly growing nonlinearities

Genival da Silva

Let $Ω \subset R^{N}$ , $N \geq 2$ , be a bounded domain and let $1 < p < \infty$ . Inspired by the exponential case treated in \cite{BO2026}, we study the quasilinear Schrödinger--Maxwell syst…

math.AP2026

An equation involving the 1-Laplacian and a singular nonlinearity

Genival da Silva

We prove existence of solutions to a nonlinear degenerate elliptic equation of the form \[ \begin{cases} -Δ_{1} u+ \frac{|D u|}{(1-u)^γ}=g & \mbox{in $Ω$ ,}\\ u=0 \hfill & \mbox{on…

A nonlinear problem related to optimal insulation

A p-Laplacian Schrödinger--Maxwell system with rapidly growing nonlinearities

An equation involving the 1-Laplacian and a singular nonlinearity

A $p$ -Laplacian Schrödinger--Maxwell system with rapidly growing nonlinearities